Two spheres of mass m are connected to each other by a spring and rods of negligible weight. rods can rotate freely from their connection points. Spheres can slide freely in both directions on the inclined plane find the acceleration aC of point C in the middle of the arc m=3kg, Q=30 degrees, k=200 N/m, F=200 N

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Consider a square plate at rest in the horizontal plane with mass m, sides of length 2L, and center of mass at point G (located at the center of the square). Two forces are applied to the plate: FA is applied at corner A with some angle o relative to the edge of the plate, and FB is applied at point B parallel with the edge of the plate, as shown. The resulting motion is a pure acceleration (translation) to the right of magnitude a. The plate does not rotate. Determine the magnitude of the force applied at B, ||FB||. (Hint: Use Euler's 2nd Law about an arbitrary point (in this case about point A). FAS 2L 2L F B B a

A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity g=9.81 m/s2 .   (2) ) If the mass moment of inertia of the drum about point O is IO, and the angular acceleration of the drum is α, select the correct moment equation of the whole drum-block system about the point O._____________       A. mbgr=rmb(rα)   B. 0   C. mbgr=Ioα +rmb(rα)   D. mbgr=Ioα

A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2.   (3) Calculate the angular acceleration of the drum α= ________ (rad/s2) (two decimal places)

A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2.   (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)

A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2.   (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)

A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2.   (3) Calculate the angular acceleration of the drum α= ________ (rad/s2) (two decimal places)

A uniform rod of mass M = 2.3 kg and length L = 0.2 m, lying on a frictionless horizontal plane, is free to pivot about a vertical axis through one end, as shown. The moment of inertia of the rod about this axis is given by 1/3 ML2. If a force F = 7 N, q = 47° acts as shown, what is the resulting angular acceleration (in rad/s2) about the pivot point?

A gear of mass m = 10 kg and radius R=0.25 m may rotate about its center of mass C, which is fixed. A rack of mass m = 10 kg is subjected to a constant force Fo = 20 N, as shown. The rack and gear are geared together (gear teeth not shown), so that the force Fo drives the rack to the right and rotates the gear. Find the angular ácceleration a of the gear and find the force f exerted by the rack on the gear. The gear is to be modeled as a uniform circular disc. Fixed Fo3 20 N Rack